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Finding the Fourth Proportional to 339,956.48, 509,704.64 and 190,300.06

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Solution

The fourth proportional to 339,956.48, 509,704.64 and 190,300.06 is: 285,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,956.48 : 509,704.64 = 190,300.06 : x
  2. Step 2: Convert to fraction form
    339,956.48/509,704.64 = 190,300.06/x
  3. Step 3: Cross multiply
    339,956.48x = 509,704.64 × 190,300.06
  4. Step 4: Simplify right side
    339,956.48x = 96,996,823,574.28
  5. Step 5: Solve for x
    x = 96,996,823,574.28/339,956.48
  6. Step 6: Final answer
    x = 285,321.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.